Answer:
y = (4x - 3)(3x + 2)
Step-by-step explanation:
Factorization is the process of taking like terms out of number such that one can rewrite an expression by its factors, or as the products of serval smaller expressions.
The first step to factoring an equation is to rewrite the linear term as the sum or difference of two other linear terms. One must do this in such as way that it shares a common factor with one of the other terms in the expression.
[tex]12x^2 -x - 6[/tex]
[tex]12x^2 -9x + 8x - 6[/tex]
Take out the common factor,
[tex]3x(4x-3)+2(4x-3)[/tex]
Factor,
[tex](3x+2)(4x-3)[/tex]
Can some help me with this please and ty.
Answer:
4 centimetres per hour.
Step-by-step explanation:
(x – 6)2 = y + 7, find the vertex.
kam
A company's stock was selling at
$28 a share. A month later, it was
selling at $21 a share. What is the
percent loss?
[?]%
Answer:Im pretty sure it's 25% percent loss
Step-by-step explanation:
sorry if im wrong
Find the eighth term of a geometric sequence for which a,3 = 35 and r= 7.
Answer:
588245.
Step-by-step explanation:
nth term = an = a1 r^(n-1) where a1 = the first term
a3 = 35 = a1 7^(3 - 1)
35 = a1* 49
a1 = 35/49 = 5/7
So the 8th term = (5/7)* (7)^7
= 588245
I NEED HELP REALLY FAST AND EXPLAIN HOW YOU SOLVED IT PLEASE
Answer:
C
Step-by-step explanation:
All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.
If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25
Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years
Answer:
Step-by-step explanation:
Complete question
A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.
For Sebastian
Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]
Substituting the given values we get
A =
[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]
For Yolanda
Amount [tex]= P(1+rt)[/tex]
[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]
Yolanda's account will have about $28.67 less than Sebastian's account
Option C is correct
NO LINKS!!!
A mechanic charges $45 to inspect your heater, plus $80 per hour to work on it. You owe the mechanic a total of $385. Write and solve an equation to find the amount of time (h) (in hours) the mechanic works on your heater.
What is the equation and and the answer?
Answer:
385=80x+45
x=4.25 hours
Write an equation of the line perpendicular to the given line that contains P.
I dont know this someone please answer this and show work and FAST! My teacher will call on me soon
Answer:
I can' see this. Can you show it closer? Please!
Step-by-step explanation:
Answer:
ok maybe itll work with this???
Step-by-step explanation:
file:///C:/Users/apple/Downloads/13f2bddc55b71689635395017a167da1%20(1).pdf
I hope it workksss
[x-2]/4=[3x-7]/10 its x-2 dived by 4 not 2/4 same with other side
Answer:
x = 4
Step-by-step explanation:
Given
[tex]\frac{x-2}{4}[/tex] = [tex]\frac{3x-7}{10}[/tex] ( cross- multiply )
4(3x - 7) = 10(x - 2) ← distribute parenthesis on both sides )
12x - 28 = 10x - 20 ( subtract 10x from both sides )
2x - 28 = - 20 ( add 28 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
The side length in centimeters of a triangle are 5x,32,and 2(3x+2) the perimeter of the triangle is 80 centimeters What is the length is centimeters of the shortest side of the triangle
Answer:
the answer is 20
Step-by-step explanation:
in the question they want the shortest side length of the triangle and they gave you the perimeter.
what we want to find is the x value.
so,
perimeter= the sum of all sides.
substituting,
80= 5x + 32 + 2 (3x+2)
80= 5x +32+6x+4
80=11x+36
80-36=11x
44=11x
44/11=x
4=x
so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.
5*4=20
32
2 (3*4+2)=28
so the shortest length is 20.
we can also check our answer to see if it is correct.
20+33+28= 80.
On a certain hot summer's day, 335 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $619.2. How many children and how many adults swam at the public pool that day?
Answer:
57
Step-by-step explanation:
Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = -
$70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
Questions are in the image above.
Answer:
hope this helps
you will find all answer in the photo i sent
HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot
Answer:
They are both correcte
Step-by-step explanation:
Imagine a pizza with 6 slices
Half of 6 slices is 3 slices, or 3/6
If you simplify 3/6, you will get 1/2
So, both fractions are equal, but in different forms.
For better context see images below!
Student Council is selling T-shirts to raise money for new volleyball equipment. There is a fixed cost of
$200 for producing the T-shirts, plus a variable cost of $5 per T-shirt made. Council has decided to sell
the T-shirts for $8 each.
A. Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
B. Write an equation to represent the revenue, R, as a function of the number, n, of T-shirts
produced
C. Profit, P, is the difference between revenue (R(n)) and expenses (C(n)). Develop an algebraic
function to model the profit.
D. How many T-shirts does the Student Council have to sell to "break even," make a $0 profit?
Answer:
It is A
Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
Step-by-step explanation:
:)
PLEASE HELP WITH MY HOMEWORK SCREEN SHOT ATTACTCHED
Answer:
first, second and fourth are all correct
Step-by-step explanation:
MARK BRAINLIESTTTTTT
Answer:
i think its c hope it helps
Step-by-step explanation:
1. The angle of depression from the top of the
school to the base of the flag pole in front of
the school is 50°. If the flag pole is 35 feet from
the base of the school, find the height of the
school.
Answer:
41.7feet
Step-by-step explanation:
From the question we are given the following
angle of depression = 50°
Distance of the pole from the base of the feet = 35feet (Adjacent)
Required
height of the school (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 50 = H/35
H = 35tan 50
H = 35(1.1918)
H = 41.7feet
Hence the height of the school is 41.7feet
A: y=5x+7 b:y= 3x+5 c: y=2x+5
Answer: A: y=5x+7
Step-by-step explanation: Hope this help :D
The figure below is a net for a triangular pyramid.
If all the triangles are equilateral, what is the surface area of
the pyramid, in square centimeters?
Answer:
339.36 cm^2
Step-by-step explanation:
14*12.12=169.68
169.68/2=84.84
84.84= the area of one triangle
(84.84)4=339.36
I'm pretty sure, but check my math if it's wrong
Please help me I really need it this is hard for me
Answer:
27.6 cm
Step-by-step explanation:
Answer: 44.6
Step-by-step explanation:
It’s not that hard use the formula of the volume of a sphere. And just replace the R with whatever your radius is, if you have a diameter just divide it by 2 to get the radius. Hope this helps
Please help!!!!! 8th grade mathHint not A
Answer:
c
Step-by-step explanation:
it passes vertical line test and is linear
Answer:
C
Step-by-step explanation:
The answer is C. Hoped it helped.
An adult pass is 3 times as much as a child's pass. What is the cost of the adults pass? Write an expression for the situation
Answer:
however much the Child's pass is x 3 = Adult Pass cost
Step-by-step explanation:
Which point on the graph represents the y-intercept?
Evaluate the expression for the given value.
2w+2l, when w=7, l=5
Answer:
2w+2l.
2(7)+2(5).
14+10.
24.
( Need help !!!!!!!!!! Pls )
Their 47 students need a seat on the school bus. If there are 21 student seats on a school bus. How many school buses will need to let each student have a seat?
Answer: 3 buses
Step-by-step explanation:
Answer:
Simply multiply 21 until you get a number greater than 47. In this case, 3, even though there is only a little remainder of 5 kids on one bus by themselves.
Step-by-step explanation:
The sum of two numbers is 80 The difference is 16 Write and solve a system of equations to find the numbers.
Answer:
32+48
Step-by-step explanation:
80- 32= 48
80-48= 32
Answer: 32; 48
Step-by-step explanation:
Let x be the smaller number, and y be the larger number, then we get
x + y = 80
x - y = 16
x - y = 16
x = 16 + y
x + y = 80
16 + y + y = 80
16 + 2y = 80
2y = 64
y = 32
x - y = 16
x - 32 = 16
x = 48
25
What is the solution to the equation 12(x+5) = 4x?
Answer:
x = -7.5
Step-by-step explanation:
12(x+5) = 4x
12x+ 60 = 4x
60 = -8x
-7.5 = x
find the slope of the line:
